DLMF:23.15.E5 (Q7335): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q12084 / rank
 
Normal rank
Property / Symbols used: Q12084 / qualifier
 
Defining formula:

𝒜 𝒜 {\displaystyle{\displaystyle\mathcal{A}}}

\mathcal{A}
Property / Symbols used: Q12084 / qualifier
 
xml-id: C23.S15.XMD1.m1adec
Property / Symbols used
 
Property / Symbols used: Q12087 / rank
 
Normal rank
Property / Symbols used: Q12087 / qualifier
 
Defining formula:

c 𝑐 {\displaystyle{\displaystyle c}}

c
Property / Symbols used: Q12087 / qualifier
 
xml-id: C23.S15.XMD4.m1bdec
Property / Symbols used
 
Property / Symbols used: Q12088 / rank
 
Normal rank
Property / Symbols used: Q12088 / qualifier
 
Defining formula:

d 𝑑 {\displaystyle{\displaystyle d}}

d
Property / Symbols used: Q12088 / qualifier
 
xml-id: C23.S15.XMD5.m1bdec
Property / Symbols used
 
Property / Symbols used: Q12089 / rank
 
Normal rank
Property / Symbols used: Q12089 / qualifier
 
Defining formula:

f ⁢ ( τ ) 𝑓 𝜏 {\displaystyle{\displaystyle f(\tau)}}

f(\tau)
Property / Symbols used: Q12089 / qualifier
 
xml-id: C23.S15.XMD6.m1dec
Property / Symbols used
 
Property / Symbols used: Q12090 / rank
 
Normal rank
Property / Symbols used: Q12090 / qualifier
 
Defining formula:

c 𝒜 subscript 𝑐 𝒜 {\displaystyle{\displaystyle c_{\mathcal{A}}}}

c_{\mathcal{A}}
Property / Symbols used: Q12090 / qualifier
 
xml-id: C23.S15.XMD7.m1dec
Property / Symbols used
 
Property / Symbols used: Q12091 / rank
 
Normal rank
Property / Symbols used: Q12091 / qualifier
 
Defining formula:

ℓ ℓ {\displaystyle{\displaystyle\ell}}

\ell
Property / Symbols used: Q12091 / qualifier
 
xml-id: C23.S15.XMD8.m1dec

Latest revision as of 01:18, 2 January 2020

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DLMF:23.15.E5
No description defined

    Statements

    Defining formula
    f ⁢ ( 𝒜 ⁢ τ ) = c 𝒜 ⁢ ( c ⁢ τ + d ) ℓ ⁢ f ⁢ ( τ ) , 𝑓 𝒜 𝜏 subscript 𝑐 𝒜 superscript 𝑐 𝜏 𝑑 ℓ 𝑓 𝜏 {\displaystyle{\displaystyle f(\mathcal{A}\tau)=c_{\mathcal{A}}(c\tau+d)^{\ell% }f(\tau),}}
    0 references
    DLMF id
    DLMF:23.15.E5
    0 references
    comment
    Warning: Falling back to standard tex;
    0 references
    constraint
    ℑ ⁡ τ > 0 𝜏 0 {\displaystyle{\displaystyle\Im\tau>0}}
    0 references
    Symbols used
    Q10901
    Defining formula
    ℑ ⁡ absent {\displaystyle{\displaystyle\Im}}
    xml-id
    C1.S9.E2.m2adec
    0 references
    Q12068
    Defining formula
    τ 𝜏 {\displaystyle{\displaystyle\tau}}
    xml-id
    C23.S1.XMD9.m1adec
    0 references
    Q12084
    Defining formula
    𝒜 𝒜 {\displaystyle{\displaystyle\mathcal{A}}}
    xml-id
    C23.S15.XMD1.m1adec
    0 references
    Q12087
    Defining formula
    c 𝑐 {\displaystyle{\displaystyle c}}
    xml-id
    C23.S15.XMD4.m1bdec
    0 references
    Q12088
    Defining formula
    d 𝑑 {\displaystyle{\displaystyle d}}
    xml-id
    C23.S15.XMD5.m1bdec
    0 references
    Q12089
    Defining formula
    f ⁢ ( τ ) 𝑓 𝜏 {\displaystyle{\displaystyle f(\tau)}}
    xml-id
    C23.S15.XMD6.m1dec
    0 references
    Q12090
    Defining formula
    c 𝒜 subscript 𝑐 𝒜 {\displaystyle{\displaystyle c_{\mathcal{A}}}}
    xml-id
    C23.S15.XMD7.m1dec
    0 references
    Q12091
    Defining formula
    ℓ ℓ {\displaystyle{\displaystyle\ell}}
    xml-id
    C23.S15.XMD8.m1dec
    0 references
     
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